library(pacman)
pacman::p_load(PageRank, devtools, Matrix, igraph, mise, tidyverse, rgl, latex2exp)
# mise()
Define some constants
n <- 20
p <- 1:n/n
beta <- 1:n/n
beta <- runif(n)*100
#sz <- 1:n/n+10
sz <- (1:n/n)*100+10
input_var <- expand.grid("n" = n, "p" = p, "beta" = beta, "size" = sz)
input_var
random_graph <- function(n, p, beta, size) {
g1 <- igraph::erdos.renyi.game(n = sz, p)
A <- igraph::get.adjacency(g1) # Row to column
A <- Matrix::t(A)
A_dens <- mean(A)
T <- PageRank::power_walk_prob_trans(A)
e2 <- eigen(T, only.values = TRUE)$values[2] # R orders by descending magnitude
A_det <- det(A)
return(c(abs(e2), A_dens, A_det))
}
Map the function
nc <- length(random_graph(1, 1, 1, 1))
Y <- matrix(ncol = nc, nrow = nrow(input_var))
for (i in 1:nrow(input_var)) {
X <- as.vector(input_var[i,])
Y[i,] <- random_graph(X$n, X$p, X$beta, X$size)
}
if (sum(abs(Y) != abs(Re(Y))) == 0) {
Y <- Re(Y)
}
nrow(input_var)
[1] 8000
nrow(Y)
[1] 8000
Y <- as.data.frame(Y); colnames(Y) <- c("eigenvalue2", "density", "determinant")
(data <- cbind(input_var, Y)) %>% head()
data <- data[data$density!=0,]
chival <- dchisq(seq(from = 0, to = 40, length.out = 100), df = 10)*7
index <- seq(from = 0, to = 2.2, length.out = 100)
chidata <- data.frame(index = index, chi = chival)
ggplot(data) +
geom_point(mapping = aes(x = density, y = eigenvalue2, size = beta, color = size, shape = factor(n))) +
scale_size_continuous(range = c(0.1,1)) +
labs(x = "Density of Adjacency Matrix", y = TeX("$\\xi_2$ of $T_{PW}$"))
mod <- lm(eigenvalue2 ~ poly(density, 1), data = data)
mod$residuals %>% hist(breaks = 90)
hist(rnorm(3000), breaks = 100)
plot(mod)
NA
This is interesting, lets look at a snapshot of it:
pairs(data)
library(plotly)
mtcars$am[which(mtcars$am == 0)] <- 'Automatic'
mtcars$am[which(mtcars$am == 1)] <- 'Manual'
mtcars$am <- as.factor(mtcars$am)
d <- data[sample(1:nrow(data), 100),]
fig <- plot_ly(d, x = ~determinant, y = ~density, z = ~eigenvalue2)
fig <- fig %>% add_markers(size = 1)
fig <- fig %>% layout(scene = list(xaxis = list(title = 'Weight'),
yaxis = list(title = 'Gross horsepower'),
zaxis = list(title = '1/4 mile time')))
fig
NA
OK so nothing great, well the spread is heteroskedastic so let’s log transform it:
```r
chival <- dchisq(seq(from = 0, to = 40, length.out = 100), df = 10)*7
index <- seq(from = 0, to = 2.2, length.out = 100)
chidata <- data.frame(index = index, chi = chival)
ggplot(data, aes(x = density, y = log(eigenvalue2))) +
geom_point(mapping = aes(size = size, color = p, shape = factor(n))) +
# stat_smooth() +
scale_size_continuous(range = c(0.1,1.5)) +
labs(x = \Density of Adjacency Matrix\, y = \Second Eigenvalue of Power Walk Transition Probability Matrix\)
<!-- rnb-source-end -->
<!-- rnb-plot-begin -->
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" />
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<!-- rnb-text-begin -->
We could probably model this with a quadratic:
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<!-- rnb-source-begin eyJkYXRhIjoiYGBgclxuYGBgclxubWF4KG1vZF94bCRyZXNpZHVhbHMpKjJcblxuYGBgXG5gYGAifQ== -->
```r
```r
max(mod_xl$residuals)*2
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<!-- rnb-output-begin eyJkYXRhIjoiWzFdIDAuNzU4ODQxNlxuIn0= -->
[1] 0.7588416
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<!-- rnb-text-begin -->
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<!-- rnb-source-begin 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 -->
```r
```r
# TODO Change the colour of each model by using pivot_longer
# TODO Make a plot of degree vs RSS, comment that the lack of elbo is evidence to regect
# TODO Try a negative log, any luck? with that
# TODO Does this vary by beta?
# TODO Write it up in a report
# DONE What about a sqrt transform and then a linear model?
# Leaves too much variance
ggplot(data, aes(x = density, y = log(eigenvalue2))) +
geom_point(mapping = aes(size = size, alpha = 0.01, color = size, shape = factor(n))) +
# stat_smooth() +
scale_size_continuous(range = c(0.1,1.5)) +
labs(x = \Density of Adjacency Matrix [ mean(A) ]\, y = TeX(\$\\log\\left( \\xi_2 \\right)$ of T\)) +
geom_line(aes(x = density, y = x1, lwd = 2)) +
geom_line(aes(x = density, y = xl, lwd = 3))
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<img 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" />
<!-- rnb-plot-end -->
<!-- rnb-source-begin eyJkYXRhIjoiYGBgclxuYGBgclxuIyAgZ2VvbV9saW5lKGFlcyh4ID0gZGVuc2l0eSwgeSA9IHgzLCBsd2QgPSAwLjUpKSArXG4jICBnZW9tX2xpbmUoYWVzKHggPSBkZW5zaXR5LCB5ID0geDQsIGx3ZCA9IDAuNSkpICtcbiMgIGdlb21fbGluZShhZXMoeCA9IGRlbnNpdHksIHkgPSB4NSwgbHdkID0gMC41KSkgK1xuIyBnZW9tX2xpbmUoYWVzKHggPSBkZW5zaXR5LCB5ID0geDYsIGx3ZCA9IDM2KSkgXG5cbmBgYFxuYGBgIn0= -->
```r
```r
# geom_line(aes(x = density, y = x3, lwd = 0.5)) +
# geom_line(aes(x = density, y = x4, lwd = 0.5)) +
# geom_line(aes(x = density, y = x5, lwd = 0.5)) +
# geom_line(aes(x = density, y = x6, lwd = 36))
<!-- rnb-source-end -->
<!-- rnb-chunk-end -->
<!-- rnb-text-begin -->
#### Model Chi Distribution
NOPE
<!-- rnb-text-end -->
<!-- rnb-chunk-begin -->
<!-- rnb-source-begin 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 -->
```r
```r
chival <- dchisq(seq(from = 0, to = 40, length.out = 100), df = 10)*7
index <- seq(from = 0, to = 2.2, length.out = 100)
chidata <- data.frame(index = index, chi = chival)
ggplot(data) +
geom_point(mapping = aes(x = determinant, y = eigenvalue2, size = beta, color = size, shape = factor(n))) +
geom_line(data = chidata, mapping = aes(x = index, y = chi)) +
scale_size_continuous(range = c(0.1,1)) +
labs(x = \Density of Adjacency Matrix\, y = \Second Eigenvalue of Power Walk Transition Probability Matrix\)
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<!-- rnb-plot-begin -->
<img 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" />
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<!-- rnb-text-begin -->
## Looking at Determinant
constants:
<!-- rnb-text-end -->
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<!-- rnb-source-begin eyJkYXRhIjoiYGBgclxuYGBgclxubiA8LSAyMFxucCA8LSAxOm4vblxuYmV0YSA8LSAxOm4vblxuYmV0YSA8LSBydW5pZihuKSoxMDBcbnN6IDwtICgoMTpuKS9uKSoxMDArMTBcbmlucHV0X3ZhciA8LSBleHBhbmQuZ3JpZChcXG5cXCA9IG4sIFxccFxcID0gcCwgXFxiZXRhXFwgPSBiZXRhLCBcXHNpemVcXCA9IHN6KVxuYGBgXG5gYGAifQ== -->
```r
```r
n <- 20
p <- 1:n/n
beta <- 1:n/n
beta <- runif(n)*100
sz <- ((1:n)/n)*100+10
input_var <- expand.grid(\n\ = n, \p\ = p, \beta\ = beta, \size\ = sz)
<!-- rnb-source-end -->
<!-- rnb-chunk-end -->
<!-- rnb-text-begin -->
functions:
<!-- rnb-text-end -->
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<!-- rnb-source-begin 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 -->
```r
```r
random_graph <- function(n, p, beta, size) {
g1 <- igraph::erdos.renyi.game(n = sz, p)
A <- igraph::get.adjacency(g1) # Row to column
A <- Matrix::t(A)
A_dens <- mean(A)
T <- PageRank::power_walk_prob_trans(A)
e2 <- eigen(T, only.values = TRUE)$values[2] # R orders by descending magnitude
A_det <- det(A)
return(c(abs(abs(e2)-0.4), abs(A_det), A_dens))
}
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<!-- rnb-text-begin -->
Map the function
<!-- rnb-text-end -->
<!-- rnb-chunk-begin -->
<!-- rnb-source-begin eyJkYXRhIjoiYGBgclxuYGBgclxubmMgPC0gbGVuZ3RoKHJhbmRvbV9ncmFwaCgxLCAxLCAxLCAxKSlcblkgPC0gbWF0cml4KG5jb2wgPSBuYywgbnJvdyA9IG5yb3coaW5wdXRfdmFyKSlcbmZvciAoaSBpbiAxOm5yb3coaW5wdXRfdmFyKSkge1xuICBYIDwtIGFzLnZlY3RvcihpbnB1dF92YXJbaSxdKVxuICBZW2ksXSA8LSAgcmFuZG9tX2dyYXBoKFgkbiwgWCRwLCBYJGJldGEsIFgkc2l6ZSlcbn1cbmlmIChzdW0oYWJzKFkpICE9IGFicyhSZShZKSkpID09IDApIHtcbiAgWSA8LSBSZShZKVxufVxubnJvdyhpbnB1dF92YXIpXG5gYGBcbmBgYCJ9 -->
```r
```r
nc <- length(random_graph(1, 1, 1, 1))
Y <- matrix(ncol = nc, nrow = nrow(input_var))
for (i in 1:nrow(input_var)) {
X <- as.vector(input_var[i,])
Y[i,] <- random_graph(X$n, X$p, X$beta, X$size)
}
if (sum(abs(Y) != abs(Re(Y))) == 0) {
Y <- Re(Y)
}
nrow(input_var)
<!-- rnb-source-end -->
<!-- rnb-output-begin eyJkYXRhIjoiWzFdIDgwMDBcbiJ9 -->
[1] 8000
<!-- rnb-output-end -->
<!-- rnb-source-begin eyJkYXRhIjoiYGBgclxuYGBgclxubnJvdyhZKVxuYGBgXG5gYGAifQ== -->
```r
```r
nrow(Y)
<!-- rnb-source-end -->
<!-- rnb-output-begin eyJkYXRhIjoiWzFdIDgwMDBcbiJ9 -->
[1] 8000
<!-- rnb-output-end -->
<!-- rnb-source-begin eyJkYXRhIjoiYGBgclxuYGBgclxuWSA8LSBhcy5kYXRhLmZyYW1lKFkpOyBjb2xuYW1lcyhZKSA8LSBjKFxcZWlnZW52YWx1ZTJcXCwgXFxkZXRlcm1pbmFudFxcKVxuZGF0YSA8LSBjYmluZChpbnB1dF92YXIsIFkpXG5cblxuXG5gYGBcbmBgYCJ9 -->
```r
```r
Y <- as.data.frame(Y); colnames(Y) <- c(\eigenvalue2\, \determinant\)
data <- cbind(input_var, Y)
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<!-- rnb-chunk-end -->
<!-- rnb-text-begin -->
<!-- rnb-text-end -->
<!-- rnb-chunk-begin -->
<!-- rnb-source-begin eyJkYXRhIjoiYGBgclxuYGBgclxuZ2dwbG90KGRhdGEpICtcbiAgZ2VvbV9wb2ludChtYXBwaW5nID0gYWVzKHggPSBkZXRlcm1pbmFudCwgeSA9IGVpZ2VudmFsdWUyLCBzaXplID0gc2l6ZSwgY29sb3IgPSBiZXRhLCBzaGFwZSA9IGZhY3RvcihuKSkpICtcbiAgc2NhbGVfc2l6ZV9jb250aW51b3VzKHJhbmdlID0gYygwLjEsMSkpICtcbiAgbGFicyh5ID0gXFx8fGUyfC0wLjR8XFwsIHggPSBUZVgoXFwkXFxcXGxlZnRcXFxcbHZlcnQgQSBcXFxccmlnaHRcXFxccnZlcnQgJFxcKSlcblxuYGBgXG5gYGAifQ== -->
```r
```r
ggplot(data) +
geom_point(mapping = aes(x = determinant, y = eigenvalue2, size = size, color = beta, shape = factor(n))) +
scale_size_continuous(range = c(0.1,1)) +
labs(y = \||e2|-0.4|\, x = TeX(\$\\left\\lvert A \\right\\rvert $\))
<!-- rnb-source-end -->
<!-- rnb-plot-begin -->
<img 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" />
<!-- rnb-plot-end -->
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```r
```r
g1 <- igraph::erdos.renyi.game(n = sz, p)
coords <- layout_with_fr(g1, dim = 3)
# plot(g1)
rglplot(g1, layout=coords, size = 0.1)
<!-- rnb-source-end -->
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```r
```r
## Not run:
g <- make_lattice( c(5,5,5) )
coords <- layout_with_fr(g, dim=3)
rglplot(g, layout=coords)
## End(Not run)
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```r
```r
n <- sz <- size <- 10^3
p <- 0.
g1 <- igraph::erdos.renyi.game(n = sz, p)
A <- igraph::get.adjacency(g1) # Row to column
A <- Matrix::t(A)
det(A)
<!-- rnb-source-end -->
<!-- rnb-output-begin eyJkYXRhIjoiWzFdIDBcbiJ9 -->
[1] 0
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```r
```r
ggplot(data) +
geom_point(mapping = aes(x = size, y = determinant, size = size, color = beta, shape = factor(n))) +
scale_size_continuous(range = c(0.1,1)) +
labs(x = \size\, y = \determinant\)
<!-- rnb-source-end -->
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<img 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" />
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## Get Different Data
constants:
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<!-- rnb-source-begin eyJkYXRhIjoiYGBgclxuYGBgclxuc3pcblxuYGBgXG5gYGAifQ== -->
```r
```r
sz
<!-- rnb-source-end -->
<!-- rnb-output-begin eyJkYXRhIjoiIFsxXSAxMDAuMSAxMDAuMiAxMDAuMyAxMDAuNCAxMDAuNSAxMDAuNiAxMDAuNyAxMDAuOCAxMDAuOSAxMDEuMFxuIn0= -->
[1] 100.1 100.2 100.3 100.4 100.5 100.6 100.7 100.8 100.9 101.0
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functions:
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<!-- rnb-source-begin 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 -->
```r
```r
random_graph <- function(n, p, beta, size) {
g1 <- igraph::erdos.renyi.game(n = sz, p)
A <- igraph::get.adjacency(g1) # Row to column
A <- Matrix::t(A)
A_dens <- mean(A)
T <- PageRank::power_walk_prob_trans(A)
e2 <- eigen(T, only.values = TRUE)$values[2] # R orders by descending magnitude
A_det <- det(A)
return(c(abs(e2), A_det, A_dens))
}
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Map the function
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<!-- rnb-source-begin eyJkYXRhIjoiYGBgclxuYGBgclxubmMgPC0gbGVuZ3RoKHJhbmRvbV9ncmFwaCgxLCAxLCAxLCAxKSlcblkgPC0gbWF0cml4KG5jb2wgPSBuYywgbnJvdyA9IG5yb3coaW5wdXRfdmFyKSlcbmZvciAoaSBpbiAxOm5yb3coaW5wdXRfdmFyKSkge1xuICBYIDwtIGFzLnZlY3RvcihpbnB1dF92YXJbaSxdKVxuICBZW2ksXSA8LSAgcmFuZG9tX2dyYXBoKFgkbiwgWCRwLCBYJGJldGEsIFgkc2l6ZSlcbn1cbmlmIChzdW0oYWJzKFkpICE9IGFicyhSZShZKSkpID09IDApIHtcbiAgWSA8LSBSZShZKVxufVxubnJvdyhpbnB1dF92YXIpXG5gYGBcbmBgYCJ9 -->
```r
```r
nc <- length(random_graph(1, 1, 1, 1))
Y <- matrix(ncol = nc, nrow = nrow(input_var))
for (i in 1:nrow(input_var)) {
X <- as.vector(input_var[i,])
Y[i,] <- random_graph(X$n, X$p, X$beta, X$size)
}
if (sum(abs(Y) != abs(Re(Y))) == 0) {
Y <- Re(Y)
}
nrow(input_var)
<!-- rnb-source-end -->
<!-- rnb-output-begin eyJkYXRhIjoiWzFdIDEwMDBcbiJ9 -->
[1] 1000
<!-- rnb-output-end -->
<!-- rnb-source-begin eyJkYXRhIjoiYGBgclxuYGBgclxubnJvdyhZKVxuYGBgXG5gYGAifQ== -->
```r
```r
nrow(Y)
<!-- rnb-source-end -->
<!-- rnb-output-begin eyJkYXRhIjoiWzFdIDEwMDBcbiJ9 -->
[1] 1000
<!-- rnb-output-end -->
<!-- rnb-source-begin eyJkYXRhIjoiYGBgclxuYGBgclxuWSA8LSBhcy5kYXRhLmZyYW1lKFkpOyBjb2xuYW1lcyhZKSA8LSBjKFxcZWlnZW52YWx1ZTJcXCwgXFxkZXRlcm1pbmFudFxcKVxuZGF0YSA8LSBjYmluZChpbnB1dF92YXIsIFkpXG5cblxuXG5gYGBcbmBgYCJ9 -->
```r
```r
Y <- as.data.frame(Y); colnames(Y) <- c(\eigenvalue2\, \determinant\)
data <- cbind(input_var, Y)
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<!-- rnb-source-begin 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 -->
```r
```r
chival <- dchisq(seq(from = 0, to = 40, length.out = 100), df = 10)*7
index <- seq(from = 0, to = 2.2, length.out = 100)
chidata <- data.frame(index = index, chi = chival)
ggplot(data) +
geom_point(mapping = aes(x = determinant, y = eigenvalue2, size = size, color = beta, shape = factor(n))) +
scale_size_continuous(range = c(0.1,1)) +
labs(x = \Density of Adjacency Matrix\, y = \Second Eigenvalue of Power Walk Transition Probability Matrix\)
<!-- rnb-source-end -->
<!-- rnb-plot-begin -->
<img 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jIihKSkpGzdulVU79wmwouGgICA9PT0Fg7bunWrjY2NeCIBgJxI3D6PEOL03X5pBwGQKBHWCnwLFizYsGGDmZlZVFSUubl5k+kWJUZ40WBhYaGkpNTCYUxc0BMAJImqGP5uOIVINwwA4/Tq1UtNTY3/dPz48VVVVRs3bjQ0NDxz5oy0UgkvGubMmSPhHAAAAMA3ffr0j7d8vFHCaO6eWLduXUZGxsc74O4JAGiZ3ZxNqQfXUg1pZwEA0cDdEwAgFnnR4VS5kBcdTsb4SjsOAIhAa++eePv2bWVlZc+ePdlsmuUqAAAIIeWvcqieBgCQG/QVwLFjx4yMjLS1tQ0NDTt37rxo0aLy8nIJJAMAAACZQlM0REdHe3t7jxkz5t69ezk5OYcPH46Ojvby8pJMOABgrtQzIU0aAMB0za49QTl+/Pi0adPCwsKop+bm5v379zczMyssLNTX1xd/PABgMLNRc6UdAQBEiaZoqK6utre3F9xiamqqpqb25s0bFA0A0AKv8Gd/XD1ACPFSXnTc20TacQBEqcNOVkRzeWLixImnTp16//49f0tERISKikrv3r3FHAwAmC37/M4mDQBgOuE9DUeOHHnx4gXVrqioMDMzGzdunKamZnp6+vXr1z09PUtLS7t37y65mAAAACBtwouGrKws/toTZmZmhJD8/HzqqZubW2Vl5evXr8VaNEiy50dBQYEpHU0KCgpsNptBaRkUlcViMSgtI6KauM58Fvsb1WBEYKacWEIIh8MhzOkhZ9CJBVrCi4YtW7a0cExsbCy10Jb4vHv3TqzvL0hDQ0OSH9ceampqioqKTEnLoBOrrq7O4XCYkpYpJ5atqMwfCMmIwEw5sYQQTU1NHo/HlLQyeGKVlZWlHYGpaAZCEkKSk5OTkpIaGxupp7W1tUFBQfHx8XZ2dmLOBgAAADKEpmiIiYlxd3c3NDTMz883MTFRVVXNzMycPn061sUGgJZlnNzSZ1oA1SA+4dKOAwAiQHP3xNGjR6dMmZKXl+fv7+/r65uWlnbo0CE2m62gQN9FAQAdWVZseMbJLfzSAQDkAE3RUFpa6uDgQAhxcHCglrv09va+du1aaWmpJNIBAGNZuXpTjYyTLY2RAgAGoSkajI2Nk5KSCCFmZmZUg8fj8Xg8/g2ZAAAA0EHQXGXw8fFxcHCYP3/+rl27ysvLvb292Wx2dXW1ubm5ZPIBAEPp2Qwp+f021ZB2FgAQDZqiwd7e/tatW/n5+RwO5/Tp06tXr66oqDhx4oSGhoZk8gEAQ/EaG3WtP6ca0s4CAKJBP57RycnJycnp7du3+vr6sbGxbDb9atoAADqW/y598pBqSDsLAIgGfQVw7NgxIyMjbW1tQ0PDzp07L1q0qLy8XALJAIDpWGw2C39mAMgRmv+eo6Ojvb29x4wZc+/evZycnMOHD0dHR3t5eUkmHAAwl5KaVg97lx72LkpqWtLOAgCiQXN54vjx49OmTQsLC6Oempub9+/f38zMrLCwEEtjAwAAdCg0PQ3V1dW2traCW0xNTdXU1N68eSPOVAAAACBzaIqGiRMnnjp16v379/wtERERKioqvXv3FnMwAGC2lANrCh/FFD6KSTmwRtpZAEA0hF+eOHLkCH/6poqKCjMzs3Hjxmlqaqanp1+/ft3T07O0tFSsS2MDANN1t3Vu0gAAphNeNGRlZaWnp1NtMzMzQkh+fj711M3NrbKy8vXr1ygaAAAAOhThRcOWLZgrHgDaJeEnX+cle6iGtLMAgGjQ30KdmZk5depUY2NjLS0te3v7n3/+ua6uTgLJAIDpUg6tSD2MJS4B5AfNLZe5ubmOjo6DBg1avXq1lpZWRkZGUFBQTk4O/yZMAIDmmIycSwhJPRMi7SAAIBosHo/XwstLly599uxZVFQUf0tKSsqAAQPKyso0NTXFF0uSS29raGhUVFRI7OPaQ01NTVFRsaysTNpBWoVBJ1ZdXZ3D4XC5XGkHaRWmnFg7T39+mxF1A1NOLCFEU1OTx+MxJa0MnlgdHR1pR2AqmssTubm5I0aMENxib2+vpaWVm5srzlQAAAAgc2iKBlNT07i4OMEtqampZWVlJiYm4kwFAIzH711gRDcDALQGzZiGRYsW2dvbu7m5TZkyRVNTMyMjIywszNfXV0sLk8kDQEuG++/T6tWbasSHfC3tOAAgAjRFg6mpaWJiYmBgYHBwMJfL/eyzz9auXevn5yeZcAAAACA7aIqG9PR0AwODyMhIyaQBAHnSw96FEFKUckPaQQBANGjGNAQHBx85ckQyUQBAnlAVg2ADAJiOpmgICAiIjIwsKCiQTBoAAACQWTSXJ6KjozkcjomJiZWVVdeuXVksFrV9+/btffv2FX88AGAqla7da94WUw1pZwEQsQcPHjg6OrY80VETr1+/VlVVVVNTE18qCaApGgwMDFxdXV1dXZtsF+vMTgAgH1AuAPBNmjRpwoQJ3333nbSDtAtN0TB79mzJ5AAAAAAZ1+yYBi6Xu3///sDAwIiIiMbGRklmAgA5kPjjXP5D2lkAxOLWrVsDBgzQ1NQcNmxYWloatbGiosLX19fQ0FBTU3PcuHGvXr0ihPz73/++c+fOsmXLRo0aRQjJzc2dMGGCnp6ehoaGs7Mz/1jZJ7xoKC4utra29vX13blz55dffjlmzJg2XbkBAACQe3PmzFm1atWlS5fU1NSGDRv25s0bQsjEiRNzcnLCw8NjY2M1NDTc3Ny4XO7Dhw8HDx68bdu2q1evEkLGjx9fUVFx4sSJCxcu8Hi8efPmSfurtJbwyxMhISE1NTV5eXmGhoanT5+eOnXqtWvXqPoIAKA1XL6/dGP1WKpBSKW04wCI3vbt2z08PAghAwYMMDIyOnz48ODBg2/fvv3XX39R8yYfPXrUwMDgzJkzc+f+09/G4/Hmzp07adIkY2NjQsirV6++/fZbaX2FthJeNGRkZHh4eBgaGhJCJk+ebGBgkJWVhaIBAFovfv1EtoIi1SCx4dKOAyB6zs7OVENVVdXJySk7O1tbW7uurq5bt278ferr6wsLCwWPYrFYfn5+Fy9ePHDgwJMnT+Li4jgcjiRjt4fwouH9+/cWFhZUm8VimZmZ1dfXSzAVAAAAk3A4HCUlJU1Nze7duxcVFbWwZ2Vl5ZAhQxQUFKZOnfrVV1+NGzdu2bJlEsvZTjSTOwEAAIBQN2/epBo1NTV37961sbGxtrYuKSnJzs6mthcUFDg6OqanpwseFR8fn5WVFR0dvXz58rFjxyoo0NzGKFOazVpYWMgfz1lZWSn4lBBiamrauXNnsacDAMay8lyadSaUakg7C4BYUMs3duvW7f/+7/8IIbNmzercufPEiRMnTJjw008/KSkpBQUFVVZWWltbE0LYbPbz58+5XK62tvaHDx/Onj37xRdfPHz4cM2aNe/fvy8tLdXR0ZHy92mFZouGn3/++eeff+Y/ffTokeDThISEYcOGiTcaADAcygWQY/r6+gEBAStXriwoKBg4cODt27epv6XDw8OXLVs2b968yspKZ2fnI0eOUEMWZs2aFRAQUFRUdObMmc2bN69du3bFihUjRoy4fv36xIkTR48enZSUJO3vRI8l9F7KFy9eVFVVtXCYsbFxp06dxJaKlJaWiu/Nm9DQ0KioqJDYx7WHmpqaoqJiWVmZtIO0CoNOrLq6OofD4XK50g7SKkw5sc5L9uhY/psQUvrkYcJPvtKOQ48pJ5YQoqmpyePxmJJWBk8sI/6ml03CexqMjIwkGwMA5FDpk4fSjgAAooSBkAAAANAqKBoAQCx0bQY3aQAA0zHpTg8AYBAFZVVqTIOCsqq0swCAaKCnAQDE4kMlt0kDAJiOpqeBx+Pt378/MTGxoaFBcPuaNWssLS3FGQwAGI+tqEwIaayrlXYQABANmp6GX375ZeHChcXFxVr/i1kzWAGA5FEVg2ADAJiO5rc/JiZm0aJFoaGhkkkDAAAAMoumaFBRUcFlCAD4BBE+fab+mkE1pJ0FQMT2p9fVN9Dv1rKvbBRVmdZrT5N35syZ69atGzdunIGBgWQCAYB8sPP0/7txlaSeCZFuGADRuvWyrrbdRcMMKwVVBZYo4kgOTdGQnp7+7t07ExMTa2trDQ0N/vbQ0FBbW1sxZwMAAJBJjY2kUdoZpIGmaDA2Nvbx8fl4e5cuXcSTBwDkhGZPi/JXOVRD2lkARIzHI0JXbpJ79JcnJJMDAOQMi83W6tVb2ikAxILHa+yYRQP95E6ZmZlTp041NjbW0tKyt7f/+eef6+rqJJAMAABARvEaRfBgIJqiITc319HRkcvlrl69ev/+/ePGjQsKClq6dKlkwgEAc8WHfN2kASA3eI2N7X8Qwry+CprLEzt37nR2do6KiqKeTpkyxcPDY8CAAd9//72mpqb44wEAU1m5ev+3cTsrNly6YQBEC5cnhMvNzR0xYoTgFnt7ey0trdzcXHGmAgDG4xcKqBhADvF4IngwEE1Pg6mpaVxcnL+/P39LampqWVmZiYmJmIMBALNN/TWjz7QAaacAEAser5HXyMhf/XaiKRoWLVpkb2/v5uY2ZcoUTU3NjIyMsLAwX19fLS2tFo4qLy/ncrm9evVisYRMW/Hu3buSkpKePXuqqKi0KzsAyCpqLkgAucXYroJ2ou9pSExMDAwMDA4O5nK5n3322dq1a/38/Fo4JCoq6syZM7q6uvX19cHBwZ07dxZ89eDBg7dv3+7WrVtBQcGqVav69MH8sgByiD+HNCFkzuWqg2M6t7y/WE3enUwIiVzQX4oZQM6IZkwDA6sO+mmv+/TpExkZ2cq3q6ysjIiICA0N1dbWDg0NvX79+qRJk/iv5ubm3rp165dfflFXV798+fKBAwdCQjC5LIB8UuthLO0IhPy3YqAaqBtAVHiNIrg8wcCaoZmiYd26ddXV1du2bVu3bl1GhpBuxk2bNllbW3+8PS0tzdTUVFtbmxAydOjQU6dOCRYNr1+//vzzz9XV1QkhdnZ2J0+eFM2XAAAZM/XXjG5WjvynfokkzKlSinkARAyXJwT16tWrtraWatTX13+8Q6dOnYQeWFZWpqurS7W7detWVlYm+OqgQYMGDRpEtePj4/v27ct/qaKiYufOnVTb0dHRycmpbd+jHRQUFNTU1CT2ce2hqKjIZrOZkpZBJ1ZBQYHFYjEoLSOivs66TwiJXTF0+qUPhBC/RLUjX0ghxrXlw9x/vEk1Wt6TKSeWEMLhcHg8HlPSMujEtp6IbrlkXtkhvGiYN28e1Rg8ePC0adOovgG+x48fd+/eXeiBNTU1Cgp/v6eSklJNTc3H+1RVVR05ciQnJycoKIi/sba29sGDB1S7Z8+eioqKbfwin47FYkny49qDzWYzKC2DorLZbEIIU9JK/cTq2boRQkrSrrewT8zyISN/vH0jYFjfWf9nNeVbQsjxMVLLfGO1a2t2k/qJbT0Wi8WstEyJ2ga8RvQ0CLFw4cLAwMBhw/6p0BsaGiZMmBAREeHg4PDx/hoaGq9evaLaVVVVH08A9ccff2zZsmXgwIE//PCDqqoqf3u3bt0uXLjAf1paWtrWb/LJNDQ0KioqJPZx7aGmpqaoqNik/0ZmMejEqqurczgcLpcr7SCtIt0Ta+k8jWrQ/nvYWFc7fFO0tnn/krSbkQv6y/6/tgz6N1ZTU5PH4zElrQyeWB0dnXa+g0jGNDBRs0WDra1tXl5edXX1qFGjOBwOfzu18IS5ubnQo4yMjPjTRz579szQ0FDw1fLy8s2bNy9cuFBowQEAAMAIPB5PrDNC3rlz59dff62trV2+fLm9vT218eTJkxEREYaGhuvXr5fWWtPNFg27d++urq7+7rvvZs2aZWtrK/iStbV1c/M0mJubKygoREVFWVtbnzt3bsGCBdT2s2fPDh069MGDB7q6up06daIGVyooKFhaWoruuwCA2D1JoB+/PNx/X3zI15EL+lN3LiiptTStCwAj8XjiW3EqMTHRx8cnNDQ0Pz9/6tSp2dnZioqKFy9e3LBhQ1hY2JUrVyZPnnzjxg0xfXrLmsECcOYAACAASURBVC0aqKGIe/bsMTc379q1a+vfccOGDadOncrKypo9e7aNjQ21MTU1tX///oQQRUXFEydOUBs7deq0Zs2aT88OADKJWqHKecmefzZ5Yw5ZkCs8XiNPbEXD1q1bg4KC3N3dCSH6+vrUHQa7du0KCgpydXV1cXExMDDIycmxsLAQU4AW0Nxyefny5S1btny8Q3O3XBJCtLS05s+f32RjcHAwIcTQ0HDMmDHtCwwAzMBi/7O0jVf4s+OoG0COiPXyRHJy8vz587/99ls2m71gwQLqnsTs7Gzqyj6LxRowYEB2drYMFQ2ffMslAIBfovD764b776MaWCwbmG66nTZ/mYS80pqbueWtOap/L7W++v/Mjspqpux4/fr1qlWr1qxZ8/z5c0dHx+zsbB0dnZKSEv44hi5dupSUlLTrC3wqmlsu+Q3KkydPunbtyp+JAQCgCcGKoeT321Sjh72LlOIAiMXxRyW19W2+PPEov+JR/j83knxhKXwwo4qKyooVK6ZMmUIIOXv27NmzZ7/++mtVVVXqj3lCSG1treDth5JEszT2+/fv586du2nTJkLIypUre/fu3aNHj71790okGwAwGL9iIITU11ZLMQmA6IlzaWw9PT1TU1OqbWZmVl5eTgjR19fnz2jw6tWrHj16SOBbfoymaAgNDb1y5Ur//v0rKipCQkKOHTv2008/LV++vKqqSjL5AIBZmpsueuqvGfEhX1MPCUcCEDleY2P7H829+ZgxY06fPk0Iqa6uvnbtmqOjIyFk7NixZ86cIYQUFBQ8ffp0yJAhEvuygmgmd7p3756vr++oUaMuXryoq6vr5eXV0NCwatWqP/74o1+/fpKJCADMQtUNw22GUJ0NejZN/9+NWgAzwgeL3AJTiXUg5LJly1xdXVNSUl68eDFjxgyqPqA2PnnyJD09ffv27SoqKmL69JbRFA2qqqrV1dWEkEuXLrm4uBBCGhsb6+vr2WyaLgoA6MioMY+N9XX8LR+XCFN/zUDdAEzFaxTfPA36+vq///57VlZWly5devbsSW3s1q1bSkpKVlZWz549pTWzE6EtGsaOHfvNN99UVFQcO3bs1KlTRUVFa9asUVNTMzMzk0w+AGAcaoaG8lc59nM3U1u6mNgS0vSyBSoGYC6xztNACOFwOPyJjlreKGE0RYO3t3dRUdGlS5eWLFkyduzYixcvJiYm/vbbb9IatwkATHRj9ViScHLO5aqDYzoTlAvAfCK6PMG81StoigYWixUQEBAQEEA9HT9+/Pjx48WfCgDkzZzLVdT/UnVDc6iZpwkhkQv6SyIWwKfhNZLmRzLKMZqigcfj7d+/PzExsaGhQXD7mjVrsGwEQIdl5+mfeiakuVcTfvIlhEzenfyhkstWVKZ9NwxuAMYRzeUJ5nU00N1y+csvvyxcuLC4uFjrfyko0FQbACCv7Dz9affhdxg01tV2s3J8knAy9eBaQgjVzfA/y1LgagUwETUQsp0PBqL57Y+JiVm0aFFoaKhk0gCA7Es9E9KauoEv89Q24uRLCEk9uJaMCfFLVKO6IoTCVQlgBF4jj9fY3o4CBnY00BUNKioquAwBIN+oCqCFyw0fo92Zvy526ZOHhBCv8GfUIc0tSwHALDweT6x3T8gsmssTM2fO3LVrV0FBgWTSAIC0tKnzoDUiF/SnKgZBYU6VzU0ZCcAkuDwhVHp6+rt370xMTKytrTU0NPjbQ0NDbW1txZwNAMRO5LUC9Z6aPS0IIfoDRhY+itEfMDL7/E7i3YaeDAAZh1suhTM2Nvbx8fl4uxSnowIAEeIPUGjT5Qna96SGOl7yszMZubP8VY6o3hlAVjC2q6CdaIqGmTNnfrwxNjYWRQOA3BBhucDHH+qYF3uQWqMPQK60uOKUHKO/czI5OTkpKanxv2entrY2KCgoPj7ezs5OzNkAQD5hwSpgOrEuWCXL6G+5dHd3NzQ0zM/PNzExUVVVzczMnD59utSnvwYAhqIqBgBm66iXJ2junjh69OiUKVPy8vL8/f19fX3T0tIOHTrEZrMxuRMAAHRYPFFg4DhIuqKhtLTUwcGBEOLg4JCRkUEI8fb2vnbtWmlpqSTSAYDcwVUJkAPUNNLtfEj7S3wK+rsnkpKSCCFmZmZBQUHkv+XVixcvdHR0JBEQAOQO6gZgvEaRLFjFvK4GmqLBx8fHwcFh/vz5u3btKi8v9/b2ZrPZ1dXV5ubmkskHAPJEcEADSgdgrg47EJLm8oS9vf2tW7ecnZ05HM7p06cLCgoyMzNPnDghONETAABAx4IZIYVKT0+3sLBwcnIihDg6OsbFxUkkFQDICbuvtrSwPBUAQ6GnQbjg4OAjR45IJgoAyBn7/2wl/7sQdoRPH+rRWFfLXz4bgHE67EBImqIhICAgMjISC1YBAAD8gxoI2c4HA9FcnoiOjuZwOCYmJlZWVl27dmWxWNT27du39+3bV/zxAIDx+JcnnJfsEbxUEbmgv5QSAbSXVC5P5ObmXrlyxdDQcPz48fyfYwkT3tPw9OnT4uJiQoiBgYGrq+uqVas8PDyGDBky+L80NTUlmxOgI5pzuYp6SDvIp+BflaAagv9LCIlc0J+h3wuAEEJ4PHEPhGxsbHR2dj527Bj1NC0tbejQoX/99de2bdu++eYb8X9D4YT3NMyfP9/d3T0gIGD27NkSDgQAHcecy1UHx3SWdgq55RX+jGoc9zaRbhL5I5pBCS32VWzbtu3u3bvz5s2jnu7YsSMgIGDJkiWVlZWGhoZr167V09Nrb4C2oxnTAADwafQHjOQ3LJ2n8S9M2Hn6U4/7IbirApiLR3jtfjQvNTX1woULo0eP5m9JTEwcOXIkIURNTc3e3j45WTrjiLGEBIDsEutf4ZbO06jGk4STrTykyeqUfolqYU6Vze1clHKDXzdQH5Hwk6+dp7/gPuhmEKvj3iZe4c/QzSAO3bU6fahroNrva+vKKmtac5RGJ2V1VSX+0+aqhurq6nnz5h07dmzt2rX8jcXFxfyuBT09PWoIgeQ1WzQcPXr0/v37zb26adMma2tr8UQCAJk29deMCJ8+folqpBV1w98tbxMrV++s2PDUMyFU3ZB6JkQiYduGP+RCbuaWQMUgJqY9tBoa//7RLymrevuuujVHddNQNdSjHxG4YsWKOXPmWFhYCG5sMu6yoaGh1WFFqdmioeWlLKU1bhNALjW5rUC0qF/35n7aW9/NQFHrYdzcp/A/gvrEkt9vU0+zYsP5/0uElQvU/i2ElDyx/hMBOXDr9/yaD/VtPSq38E1u4Rv+0xWTHT/eJy8vLzw8fOnSpRs3bszKympsbNTS0hozZoyuru7r16+1tbUJIa9fv+7evXt78n+yZsuCmTNnBgQESDIKQIcl7oqBCOsSaGu5QP63YuC/GzVHE3X/pFf4sy4mttT24UHn4tdP5O/PH5RHmv/zt+V+C0lq5z+Rlgs1kAPim51JU1Nz48aNVFtRUbFTp06qqqqEkKFDh8bHx1taWtbW1iYnJw8cOFAcn05Lnsc0YOQwdDT85aA+eS2oln/tDo7p3OQ+ScFZHSfvTtboZVldVkIIUe2iRwjpNzuQEGLn6S+bFyMkw8rVmwh0tICcoBvJ+Mm0tbWXLFlCte/cuePu7j5ixAhCiL+//8SJE+vq6mJiYmbMmKGrqyuOT6eFuycA5Bn/519Uf/UeHNO5udGLTSZrKnuWRjV6T1hk6TyNX7sf9zaxdJ7GH4bZ+pBNjpJlYU6V1HehKgbBBsgHXmNj+x+0nzJ16lT+PIq2trbXr19nsVjz5s0LDQ0V8/drlvCehr1792IdSwCGatLN0KZyoa21hZ7tMKFHhTlVev1zOeLvSyFU3cD/4bd0nsa/REL7uR+XC/wbMVrfjUH1PrbQ9Zjwk6/gShntlxUbjp4GuSSiGSFp3mHKlCmCT83MzMzMzNr9oe0ivGgwNzeXcA5xwFUJ6Gg++apEC7+mw/33EULiQ75u4XBqLAJ1V8XH8zVln985p+smaiP/AkpbPUk4KVhkNLl1s01avgtR5ONLWigXqDtKRPtxICGMXdu6nXB5AgCaRVUMrUFVA1N/zUj8cS7VK5B9fif1sJuzSXDPvjP/ufW8TZcbBEdu8nsXPmG0hIz8OUH1QOCyBUOJZpVLBq6tLc8DIQGglVIOrCGEEO+m91PEh3zNrwaEdmOUpN2kGmxFZUJI+m9/1wdUT0CTcoHq+U/4yZf4nCRtrBg+xtxygaBWkANiGwgp42h6GkpLS5tsaWxs3Lt3b0pKitgiAYAkWLl6N/npavlX/OMrC4K3TkT49BGsKqhf9IqXT6gHEdZp8STh5Cfc9ikfcFWC6UTT08BAND0Nc+fODQgIcHJyop4+ePDAz88vIyMjKSlJ/NkAZNQ/fzEzluCo/sb6uk97k8gF/QVKgf7koysI/KqCqhtYbLa2OZbD/puE6wb+P6mWh6dAa3XUngaaomHMmDHu7u4XL17s06fPqlWrDhw4MHr06FOnTpmYyEovH4CEiXZ0vYTx53oSRI0xbO6QTxtcSf1E8UuEN0+FL64jOOtDy+tQ4B6EDk7WZh9v5T2T8oemaPj6668VFRXHjRunqKiopaV1/vz58ePHSyYZAIgPf7pG6mdYsIdAhP/v/OZpsrZ5/6wzoVmx4cP99+FvXGgn2ZkojMdruhhEB8Fqzdc+fvz4V199deXKFVdXVwlkIsLGUoiPhoZGRUWFxD6uPdTU1BQVFcvKyqQdpFUYdGLV1dU5HA6Xy5V2kFZp54ltec7HT5j8oLl7Mof770s+sIzFYpWXl7dwONXZIAvLXTLo31hNTU0ej8eUtKI6sSKsGHR0dNr5DgPnh9Z8+MTrenwJP/t1Ue/UzjeRMOE9DWFhYbm5uYJbevfuPWHChDlz5nA4HELIokWLcIUCgIlaOX3T5N3JTWZ4bI7Q/oM5l6uMXWdMPlF0xku/5cNloVwARpCRPgaKiCZ3Yh7hRcPbt2+brNVtZWVlZWX1+vVr6umHDx/EHg0AJE5w9CIANKujTu4kvGhYt26dhHMAgIyIXNC/9d0MzaH6DzAbPcgr9DT8j4CAgPT09BYO27p1q42NjXgiAYCUtbNiAJB7orl7goFVh/CiwcLCQklJqYXD1NXVxZMHAABA5mGeBkFz5sxp4ZjY2FhtbW3x5AEAAJB1PCKCKR2ZWHTQrz2RnJyclJTU+N9+mNra2qCgoPj4eDs7OzFnAwBm6+ngQTAjE8gl9DQIFRMT4+7ubmhomJ+fb2JioqqqmpmZOX36dAxoAICWCc5UjboB5IyIFo9gXtlBs2DV0aNHp0yZkpeX5+/v7+vrm5aWdujQITabraCA5TEBoCX8QqGFimG4/77Wr74NIDs67IJV9KtcOjg4EEIcHBwyMjIIId7e3teuXZPkjI0AwETOS/boWn+ua/05f7UOS+dpQhe5oOqGybuTMUUEMAZ1eaKdDwai6TAwNjamFrQ0MzMLCgoi/7059cWLF+2fhrMFampCltUREwUFBUl+XHsoKiqy2WympGXQiVVQUGCxWAxKy5SofIKBPw7/cP+3LbwqMQw6sRwOh8fjMSUtg05s62HBKuF8fHwcHBzmz5+/a9eu8vJyb29vNptdXV1tbm4u1ljV1dVifX9BHA5Hkh/XHiwWS0FBgSlpGXRi2Ww29S+2tIO0iuyf2KHf7CaEsNhsQgivsbH8VY6Z2zz+q/zwE3cmUctgUlvOLXIgkv1vvwnZP7F81HT+DEora1FVVFTa+xaM7SpoJ+FFQ01NDXVO7e3tb926lZ+fz+FwTp8+vXr16oqKihMnToh7oreGhgaxvr8gHo8nyY9rD2oCMgalZVBUghMrHn9l3qUaypo61FqaH4eXka/DrBPLoLQMitoGjB2U0E7CxzSMHj26X79+S5cuPXfunLm5+fTp0wkhjo6OcXFxjx49Gjt2rGRDAsgW6tq80MvzQASWsKI6EmhN/TVj6q8Z4kwEIGriHNNQWVnp5eWlr6//r3/9a+fOndTGDx8++Pr66unp2dnZPXr0SFLfsynhRcPcuXPNzc3Pnj07adIkXV1dGxubxYsXR0ZG/vXXXxLOBwCyjD/IsQlt8/5NKgbNnhZN9olc0J96UE9RNwCD8EShuTdfunQpm81+/vz5+fPnV69eTY0s3Ldv38uXL/Pz8wMDA728vKS18oXwomHGjBkREREvX7589erV6dOn3d3dHz9+PGvWLD09PSsrq4ULFxYUFEg4KADIGqpiEFo3RC7on3Hqx4xTPzbW1zXW1+lafy7xdADixOP9vdBlux7Cf/hv3ry5fPlyZWXl/v37jx49+sGDB4SQ3377zd/fX0VFxcPDQ0FBgdooeTQDIQ0MDDw9PT09PQkhKSkpP/74Y0RERHZ29pdffmlgYCCRhAAyh7o2DxTrL5f5JRJCSJhTJX+jnac/IcR+7mZCSMqBNYSQhJ98pZMPQAzEusrlrVu3dHV1CSF1dXUZGRnffPMNISQ/P793797UDr1793758qWjo6OYArSApmgoKSmJjY2Njo6OiYkpKiqytrZesmTJF198IZWsACBTqDqAqhiaSD0T4hX+rMmezYnw6SPqaADiNWvsYN5/53PMfVkcl5TZmqMc+pj2szTkP2WxhO/Wo0cPQkhJScmcOXP69u1L/eC+efOGv1Skurr6mzdv2hH/0wkvGhITE8+fPx8TE5OWlqajo+Pq6vr999+PHDkSvQsA0Bz+vNFZseHD/ff1sHehnlL9DQDy5MiFhOraD2096kH60wfpT/lP504Y3tyep0+fXrx48fz58zds2MBmswkhXbp0qays1NTUJIS8e/euS5cunxS8vYQXDWvWrElISOjdu/fZs2c9PDxYzZVDACDvqAsNhJDUMyFCd+BflbD67xYrV289myH8HYpSbhBvE/ElbIFf4t9zCgleOgFoP+r+BzG9eURExIoVK6Kjo/v27cvfaGxs/PTpU+pP9z/++MPIyEhMn94y4UXDqlWrLCwsYmNjJ06caGFh4erq6urq6uzsrKWlJeF8ADJIvn+KqLsY2nPJgFpswnnJHmp+J0LIcP99/PswW8MvUU0uzy3Ij8ZGIrYZIdetW3f48GHBioEQMm3atF27djk7O9+5c6eqqmrgwIFi+vSWCb974osvvtizZ09ubu7z58+XLVtWWlo6b948bW3tgQMHrlmzJj4+vq6uTsJBAUAC+Pc9fsINkFmx4dSDeqpj+e9Py0DVZPzKrP3krP7g9/2AFInvlsvKysqnT58OHz6c9V9hYWGEkMWLF2tra5ubm/v7+589e1ZaVwBYrRz/yePxHj16tGPHjoiIiMbGxoSEhGHDhokvliQXxNLQ0KioqJDYx7WHmpqaoqJiWVmZtIO0CoNOrLq6OofD4XK5rdxfuj0N4j6x7e9pIITMuVxFCEk9uFarV29CCPdldnNXNz4mrdPLiH9j+RXDs5gDsp+WIoMntv1rJ1mPX/IJYxqaeBTxY1dNhq3KQXP3RGlp6f379+/du5eYmJiUlPT+/XtDQ0NnZ2djY2PJ5AOQQXL2l2sTLZcLgqMdm9tnuP8+Y9cZVJv7MpsQYuI6U3QBAaRPRGtbM2/1CuFFw9mzZ6Oiou7du5eTk0MIoQqF2bNnOzs7S2vwBQDIGjtP/4/7D6g+hr93mLOJEHI/xFdJTYu0ruAg8l6TtVPqmRA7T/+82IPSmhAQ/oYFqwT98ssvz58/d3Z2XrlyJQoFAODLig3n//a3cMXheewxQoix64zKoud9pgXU1/6zyGHLFQPQav2FHhAfEfU0MI/wouHMmTNdu3aVcBQAYATaX31j1xlU0dDWAwEYQyQ9DQzsqhB+9wQqBgB5NedyleAVBNGa+mtGZdHzg2M6x4d8zWtszItGlQDyieppaO9D2t/iEwgvGgAA2omaOvqv3+9E+PT56/c7/HWt7Dz9cdMgMB2P1zFrBrq7JwBAzhwc01lin6U/YGRzLwkdRAnAHI2EYEzDR9LT0w0MDLS1tSWTBgAYrcntmoWPYgghzo9ipBQHQFyY21XQTjRFQ3Bw8KBBg7799lvJpAEAuSS4yiU6GEAe8BpJh5yngWZMQ0BAQGRkZEFBgWTSAIA8STm0gtCtiw3ARDyeCGaSlvaX+BQ0PQ3R0dEcDsfExMTKyqpr1678ya63b9/eZC0NAICP/ZV518r1Lm62BHkjmp4G5qEpGgwMDKglLptsp5b0BgCghYoB5A9zuwraiaZomD17tmRyAIBcKnh4sby8XNopAESto04jTT9Pw/37921sbJSVlW/evBkWFrZ582asiw0AAB2ZSCZ3kvaX+BQ0RUNycrKbm9v48eMtLCwIIYaGhtu3b0f3AwC0xhdb4kf+ECftFABiQPU0tPch7W/RdjRFw+7du6dNm7Z582Y9PT1CyNixY+Pi4k6cOFFYWCiReADAVJN3JzdpAMgN9DQIV1xc3KfP/8zW0q9fP3V19aKiInGmAgAAkGEi6WlgIJqiwcrK6tatW4Jbrl+//v79e0tLS3GmAgDGi1zQX892GNWQdhYAEWv/JA08Ho+JkzvR3D2xZMkSGxub6dOn//nnn5cuXbpw4cLevXvXr1/fubPkpq8HACbyS1QjhOjZDvNLJGFOldKOAyBKzL2+0E40PQ0GBgbJyckKCgqEkIsXL+bk5Bw/fnz9+vUSyQYADBbmVFldVlJdVpK4fZ60swCIWke9PEHT07Bw4UINDY25c+cePHhQUVFRMpkAQA7MuVxFNezmbJJuEgCRQ0+DcGZmZjExMS4uLtra2hMnTty3b19+fr5kkgEAAMiojtrTQFM0+Pv7Jycnl5WVnTp1ytLS8siRI+bm5tbW1llZWZLJBwAMlRcd3qQBIDdENBCSeWguT1AUFRVV/4vD4RQUFNTU1Ig7GQDIB+svlxGCgZAgXzrqglU0PQ1hYWGDBw/W0tKaOHHio0ePRo0adfv27Tdv3tjb20smHwAw1GdfeN8P8b0f4ltdViLtLAAihp4G4SIjI+/evTt8+PDFixcPHTpUW1tbMrEAgOnuh/j+0xiDKxQgV/4zdWzth/Yuw6SirCSSMJJEUzScPHnyzp07d+7c+f7777/88kszM7PBgwcPGTLEw8NDXV1dMhEBAABkStByX2lHkA6ayxN6enqenp4hISEPHz4sKiry9PQ8deqUt7d3SkqKZPIBAENZeS5t0gAApqPpaaitrX3w4EFCQkJCQsK9e/eUlZVdXFzc3d3t7Owkkw8AGEpJTavf7EBppwAAUaIpGkaNGnXz5k17e3t3d/egoCBHR0dqdkgAAADoaGgqgI0bN/bu3VtHR0cyaQAAAEBm0RQNQ4YMyczMXLhw4cOHD8vKyj777LOvvvpqwYIFmFIaAFqWcmDNP0+8T0ovCACIDE3RkJub6+joOGjQoNWrV2tpaWVkZAQFBeXk5ISFhUkmHwAwVHdb5/JXOYQQzZ4W0s4CAKJBUzTs3LnT2dk5KiqKejplyhQPD48BAwZ8//33mpqa4o8HAEylazO4SQMAmI7mlsvc3NwRI0YIbrG3t9fS0srNzRVnKgCQB7o2g1ExAMgTmqLB1NQ0Li5OcEtqampZWZmJiYk4UwEA40X49GnSAACmo7k8sWjRInt7ezc3tylTpmhqamZkZISFhfn6+mppaUkmHwAw1x9XDxBCiE+ItIMAgGjQFA2mpqaJiYmBgYHBwcFcLvezzz5bu3atn5+fZMIBAKM9iznAYrHKy8ulHQQARKPZooHL5Z4+fbqgoMDKyioiIoLNprmQAQAAAPJNeNFQXFzcv3//4uLiLl26vHnzxt3d/cqVKywWS8LhAAAAQHYI7z8ICQmpqanJy8srLS2NiIi4du3atWvXJJwMAAAAZIrwoiEjI8PDw8PQ0JAQMnnyZAMDg6ysLMkGAwAAANkivGh4//69hcXfk7ixWCwzM7P6+noJpgIAAACZg+GNAAAA0CrN3j1RWFiYlpZGtSsrKwWfEkJMTU07d+4s9nQAAAAgM5otGn7++eeff/6Z//TRo0eCTxMSEoYNG9bcseXl5Vwut1evXrjhAgAAQG4ILxoOHTpUVVXVwmHGxsbNvRQVFXXmzBldXd36+vrg4GChHRJHjhz58ssvVVRU2hoXAAAApEV40WBkZPRpb1dZWRkREREaGqqtrR0aGnr9+vVJkyYJ7lBeXp6UlHTu3LkpU6Z82kcAAIP0sBv1JOGktFMAgGiIeCBkWlqaqamptrY2IWTo0KEPHjxossOJEyfu3r3L4/FE+7kAIIO+2BLf58vl0k4BACJDs/ZEW5WVlenq6lLtbt26lZWVNdnB19eXEDJ58uQm22tqau7cuUO1jYyM9PT0RBusBWw2W1lZWWIf1x4cDofFYjElLYNOLJvNxokVOY+wZLaiMiFk6q8ZF/z6SzsOPaacWEIIm83m8XgMSsuUqEBLxEVDTU2NgsLf76mkpFRTU9PKA7lc7sqVK6n27NmzFy9eLNpgLVNXV5fkx7UTg9IyKCphVFoGRaUwJTBTclIYlJZBUaFlwouG1NTUHj16dO/e/eHDh6ampl26dGnl22loaLx69YpqV1VVaWpqtvJAXV3duLg4qq2srPzmzZtWHth+6urq7969k9jHtUfnzp0VFRW5XK60g7QKg06smpoah8NhymKMTDmxaj3+GS4tyf+iPxlTTiwhRENDg8fjMSWtDJ5Y6ho6fALhRUNwcLCdnd26detWrFgRGBjYwt2VTRgZGUVFRVHtZ8+eURNRtwabzdbQ0OA/lfC/YcwaY8GgtAyKShiVlkFRKUwJzJScFAalZVBUaJnwgZAzZszYvHkzi8VKSEhwdnZmfeTmzZtCDzQ3N1dQUIiKisrLyzt37pybmxu1/ezZs6WlpeL6EgAAACB+wnsaPD09R4wY8fTp04ULF/r4+Njb2zfZwcrKqrl33LBhw6lTp7KysmbPnm1jY0NtWIQiDAAAIABJREFUTE1N7d+/v46ODvXU2tqazcYM1gDyrOLlE4FnDBgICQC0WC33GqWlpRkZGbV+aIKoSLJbQkNDo6KiQmIf1x5qamqKioof35Mimxh0YtXV1TkcDlMGizDlxE7enZx1JpQQYuW5NHIBA4oGppxYQoimpiaPx2NKWhk8sfy/YKGtaP7ct7W1ffXq1dSpU42NjbW0tOzt7X/++ee6ujrJhAMA5so6E9pvdmC/2YFU6QAg93g83s2bN1ueT5npaIqG3NxcR0dHLpe7evXq/fv3jxs3LigoaOnSpZIJBwDM1W92YJMGgHz78OGDs7Nzbm6utIOIEc08DTt37nR2dubfEDFlyhQPD48BAwZ8//33kr9mAQAAILMUFRUvXbrUwtpMcoCmaMjNzXVxcRHcYm9vr6WllZub278/Ay5SAoC0dDGxLXuWRgjJPr+TeIdIOw6A6L158+bZs2d6enrU/AIsFos/6cvjx48F9zQyMqL24fF4L1684HK5VlZWTJwok6ZoMDU1jYuL8/f3529JTU0tKyszMTERczAAYLbE7fOkHQFAjFatWrVt2zZlZeWqqioPD4/IyMiGhgZnZ+fHjx/X1dUtWrSI2q2xsTErKysoKGjdunVpaWnTpk17/vy5goKCqqrq6dOnnZ2dpfol2oxmTMOiRYtu3rzp5ub266+/nj59esOGDSNHjvT19dXS0pJMPgBgLq1evbV69ZZ2CgDRS0tL++GHHy5evFhZWZmUlBQVFXXlyhX+qwMGDPj9v7y8vPT19b/++uuamppJkyaNHTu2oqLi3bt3QUFBEyZMePbsmRS/xSeg72lITEwMDAwMDg7mcrmfffbZ2rVr/fz8JBMOAJiLXy6gbgD5U1lZSQjhcrkNDQ3//ve/y8rKVFRUPp7C4Pr168HBwXFxcXp6ejdu3Pjzzz/HjBnz8OFDQkjfvn1VVVUvX778zTffSOELfCr6Bav69OkTGRkpgSgAAACM8PnnnwcEBMybN2/x4sXDhg378ssvp06dWltbK7jP8+fPvby8tm3b5uTkRAjJz8/ncDgbN27k72Bpacm4WwpEvMolAAAlPuTr4f77qIa0swCI3g8//LBx48Y7d+5cvnz5P//5z7Nnz7799lv+q9XV1ZMmTRo1ahR/cEOPHj1UVFTi4+P5+7x//15JSUnSudsHczkDgLjwGht5jY3STgEgesePHx81apSysrKLi8uOHTvc3NySk5MFd5g/f35DQ8O+ffv4W+zt7Wtqai5evEg9ffDggZqaWnZ2tkRztxt6GgAAANrGzs5uzpw5kydPHj58eFZWVlRUVHh4OP/Vw4cPh4eH//jjjzExMdQWPT09R0fHgIAALy+vRYsWKSkpHTx4cOLEifwVmpgCRQMAiEvKoRUsFqu8vFzaQQBErHfv3rdu3dq7d29UVFT37t0vX778xRdf1NXVOTs7q6mp1dTUODs7X758mb//oEGDHB0dAwMDraysoqKiKisrly9fvmDBAil+hU9Ds2AVIeT+/fvz5s17+vRpdHR0RkYGl8tdsWKFoqKiWGNhwSqhsGCVmGDBKjHR0NBgUNHAoBOLBavaCQtWfTKaMQ3Jyclubm7jx4+3sLAghBgaGm7fvn327NkSyQYAAAAyhKZo2L1797Rp0zZv3qynp0cIGTt2bFxc3IkTJwoLCyUSDwAAAGQFTdFQXFzcp08fwS39+vVTV1cvKioSZyoAAACQOTRFg5WV1a1btwS3XL9+/f3795aWluJMBQAAADKH5u6JJUuW2NjYTJ8+/c8//7x06dKFCxf27t27fv36zp07SyYfAAAAyAiangYDA4Pk5GQFBQVCyMWLF3Nyco4fP75+/XqJZAMAAAAZQj9Pg7GxseCcFQAAANAx0RQNYWFhubm5H29ftGiRiYmJeCIBAACALKIpGt6+fVtcXEy1eTzeixcvHjx44ObmxmZj0QoAAOig3r171/43UVdXb/+bSBhN0bBu3bomW86ePTt//nxqlAMAAAB0HG3uMJg0aZKqqurDhw/FkQYAAABkVpuLhsLCwsLCQmNjY3GkAQAAAJlFc5UhMDAwMzOT/7Suri4uLs7IyKjJNJEAAAAg92iKhu7du1dVVQlucXBw+Oqrr8S9yiUAyIH+c7cRQuJDvpZ2EAAQDZqiwdfXVzI5AEDOzLlcZew6g2ocHIM5ZAHkgfCiISAgID09vYXDtm7damNjI55IAAAAHV1NTU1JSYmhoSF/y8mTJyMiIgwNDdevX9+lS5cWNvLt27cvOjpaVVV18eLFDg4OhJDk5ORly5bxd7hw4YKGhkbrUwkvGiwsLJSUlFo4jIl3lwKAJKl20asuK5F2CgCmOnz4cE5OTkhICPX04sWLGzZsCAsLu3LlyuTJk2/cuNHcRr4ffvghIiJi+/btKSkprq6u6enpRkZGaWlpWlpa/MsIqqqqbUolvGiYM2dOC8fExsZqa2u36WMAoANS7aL332alNHMAMEpGRsaaNWuuXr3q5+fH37hr166goCBXV1cXFxcDA4OcnBwLCwuhG/mHHDt2bNeuXUOGDBk+fHhsbOzVq1cXLFjw/PnzoUOHurm5fVo2+jmakpOTk5KSGhsbqae1tbVBQUHx8fF2dnaf9pEAAAByLDg4eN++fePHj9+5cyeLxWrr4QYGBqtXr+7Zs6fgxuzsbOr6AovFGjBgQHZ2toWFhdCN/EMCAwPt7e2p9ocPH/71r38RQvLy8l69euXh4aGtrf3tt9+29V5ImqIhJibG3d3d0NAwPz/fxMREVVU1MzNz+vTpGNAAAC3LPLXtr8y7hBBd68+JE4ZUQ0fR0NDw448/EkLCw8NXrVrV5Le/Nbp06TJw4MCEhAT+Mg6EkJKSEv6QhS5dupSUlDS3kc/T05MQwuPx/u///q+4uHjEiBGEkLy8PGNj4xUrVjx8+PDzzz9/8uRJjx49Wp+NZnKno0ePTpkyJS8vz9/f39fXNy0t7dChQ2w2G9NIA0DLqIpBsAHQEXA4HGdnZ0KItbW1np4e3e6tpaqqWltbS7Vra2upsQhCNwp69uzZ4MGDY2Jibt261alTJ0LIvXv3jh8//vnnny9dutTc3PzixYttikFTNJSWllJdHw4ODhkZGYQQb2/va9eulZaWtuljAAAAOoizZ8/euXMnPj5ehHMa6evrv3r1imq/evWK6h4QupEvLS3N0dFx1qxZ8fHx1EjExsbGZ8+e8XewsLCorGzbeCOaosHY2DgpKYkQYmZmRjV4PB613GWbPgYAOho9myFNGgAdhIKCQt++fVVUVET4nmPHjj1z5gwhpKCg4OnTp0OGDGluI9/ixYu3bt06f/58/hYWizVo0KBr164RQqqrq69fv/7555+3KQbNVQYfHx8HB4f58+fv2rWrvLzc29ubzWZXV1ebm5u36WMAoANCuQAgKsuWLXN1dX3y5El6evr27dupikToxh9++OHWrVvnz5+/e/dufX390aNHqXdYsmTJhAkTDhw44O3tbWtrm5eX5+vr6+jo2KYYNEWDvb39rVu38vPzORzO6dOnV69eXVFRceLEiTbNBQEAHVA3a6fXmYlUQ9pZAJjHy8vrw4cP/KfdunVLSUnJysrq2bMnf/Cj0I1eXl6jR48mhMTFxQm+oZmZGSFk3LhxL1++zM7O7tmzp66ubltTsXg8Xgsvh4eHDxgwoHfv3m1933aS5JgJDQ2NiooKiX1ce6ipqSkqKpaVlUk7SKsw6MSqq6tzOBwulyvtIK3ClBM79dcMBWVVQkh9bXWEDwOWuGPKiSWEaGpq8ng8pqSVwROro6PTznd49+5d+2MwcZpEmjENly9ftrKycnBw2Llz55s3bySTCQDkAFUxCDYAgOloioaTJ09mZGSMHj16165dPXr0mDhx4vnz5wU7TAAAAKCDoCkaCCHW1taBgYFZWVmpqal9+/Zdvny5vr7+77//LoFwAMBcx71NmjQAgOlaO0cTl8tNTU3NyMgoLCzU1NT8hHkxAaCjueRnx2KxysvLpR0EAESDpmgoKiq6cOHC2bNnExISunTp4unpeeXKlSFDhrDZ9F0UAAAAIE9oigYvL6+MjIxJkyYFBAQ4OztzOBzJxAIAAABZQ1M0/PLLL5aWllhpAgAAAGiqAWtr6/379ycmJjY0NAhuX7NmjaWlpTiDAQAAgGyhGZrwyy+/LFy4sLi4WOt/oe8BAACgo6H57Y+JiVm0aFFoaKhk0gAAAIDMoulpUFFRwWUIAAAAILRFw8yZM3ft2lVQUCCZNAAAACCzaC5PpKenv3v3zsTExNraWnBly9DQUFtbWzFnAwAA6KBqampKSkoMDQ35W06ePBkREWFoaLh+/Xr+mpZCN1KSk5OXLVvGf3rhwgXqd7yFQ2jRFA3GxsY+Pj4fb2/rxwAAAEDrHT58OCcnJyQkhHp68eLFDRs2hIWFXblyZfLkyTdu3GhuI19aWpqWlpavry/1VFVVlfYQWjRFw8yZM9v0dgAAAB1cVVVVenq6paXlp/2BnZGRsWbNmqtXr/r5+fE37tq1KygoyNXV1cXFxcDAICcnx8LCQuhG/iHPnz8fOnSom5ub4Ju3fAgt+tmg79+/b2Njo6ysfPPmzbCwsM2bN9fV1bX+AwAAADqOsrKywYMHu7m5OTk5PX/+/BPewcDAYPXq1fPmzRPcmJ2d7eDgQAhhsVgDBgzIzs5ubiNfXl5eenq6h4fHnDlzMjIyWnif1qMpGpKTk93c3MaPH09VIoaGhtu3b589e3abPuP/27vPsCiu9mHgZ7bALmwBld5ENBgLIoigBEXBSAwij2IJwVgeiYookRA7xpJiFCyJgI3HFsCO0gISqthQWEGlC6KAS1SKIAvI7rwf5sr+94WFXdqyK/fv08yZOWfuueWSm2kHAAAAGCTS09OfPXuGEKqsrIyNje3BCOrq6tbW1oaGhqKN1dXVwusW6urq1dXVnTUKlZaWtrS0bNq0yczMzNbW9tWrVxK7SCTh9kRISMiSJUt+/vnnzMxMhJCzs3NycvLEiRMDAgJ0dXW7daRuodFo/Td4OyQSSZaH6w0ymYxhmAJFq0ChQmL7A4lEgsT2BxKJhOO4okSrQIntE6JX+8eOHdtXw9Lp9JaWFmK5paWFeEBBbKPQ3bt3iQVbW9uwsLCoqKjVq1d33UUiCUUDl8ttdzvE3NycyWS+evWqX4sGHMf7b/ABP1wvKUq0OI4rUKgYhilQtIoSKkFRooXE9hOFS2wvjR49Oioq6q+//po6deqMGTP6alhdXd2KigotLS2EUEVFhY6OTmeNBIFAUFZWZmJiQqyampo2NjZ23UUaEoqGMWPGpKenr1+/XtiSkJDQ1NTU3198EtZBMqCsrCzLw/UGlUolkUiKEq0CJVZJSQnDMEWJVoESq6ysDIntDzQaDcdxRYlWDhPLZDL7dXx7e3t7e/u+HdPZ2fnq1auWlpaVlZVFRUV2dnadNRIwDJsyZcq5c+ecnJx4PF5CQoK3t3fXXaQhoWjw8fEZP378V1999fLly5iYmBs3bhw/fnznzp2qqqrdP2UAAAAA9ISfn5+jo2NBQUFubm5gYCBxx0ds4759+9LT0+Pi4kJDQ5cuXTphwoTS0tI1a9bY2Nh01kV6ki/JlpWV7dy588GDBziOjxw58ttvv503b15Pz1pab9686e9DCLFYrHfv3snscL3BYDCoVGptbe1AByIVBUosk8kkk8l1dXUDHYhUFCixLBYLw7D6+vqBDkQqCpRYNpuN47iiRCuHiR02bFgvR2hoaOh9GF1f8Hj58mVra6vw/gJCiM/n5+Xl6evri77J2bHxxYsXdXV1ZmZmCCEej5efn6+vr6+pqdn1OFKS0/u4UDSIBUVDP4GioZ9A0dBPoGjoJYUoGuSThNsTx44dI14dEUWj0XR1dV1cXPT09PotMAAAAADIFwlFQ2tr69mzZ+vr6y0tLZlMZnFx8fPnzx0cHF6/fu3j43P48GEvLy/ZBAoAAACAgSWhaNDW1tbQ0MjNzdXW1iZagoOD//7778TExIyMjDlz5qxYsaK7b3kCAAAAQBFJ+CLklStXVqxYIawYEEJeXl7JycmlpaWfffaZkZFRYWFhP0cIAAAAALkgoWgYMmTI48ePRVueP3/+7t07KpX64cOH8vJyFRWV/gwPAAAAAPJCwu0Jb2/vqVOntra2zpkzh8lkFhUVBQUFeXh40Gg0KyurTz75ZNSoUbIJFAAAAAADS8KVhnHjxhEfr96+ffvXX3997tw5Hx+f0NDQ5ubm6dOnx8fHYxgmkzgBAAAAMMAkXGlACI0dOzYiIqJdo4GBwZEjR/onJAAAAADII/FFg7+/P4/HCwgI8Pf3F07CLeqnn37qw8m7AAAAACD/xBcNhoaGxPwihoaGbW1tHXeA5x8BAACAwUZ80fDZZ5+x2WyEkKenZ8et+/fvJ5PJ/RsXAAAAAOSM+Achvby8zp8/L1xlMplpaWnC1b1795aVlfV7aAAAAACQJ5IfhAQAAACAjDU3N1dXVxsZGQlbLly4cOnSJSMjo507dwonqBTbSJg9e3Zra6tw1cXFZePGjVlZWX5+fsLGGzdusFgs6aOCogEAAACQO2fOnCksLDx06BCxGhUV9eOPPwYFBcXFxbm5uSUlJXXWKOTn5ycQCIjl3bt3a2lpIYRycnLU1NTWrFlDtHd3IggoGgAAAIC+lJeXd+vWrYkTJ06ePLkH3Z88ebJ9+/a//vpr3bp1wsbg4OA9e/Y4Ojo6ODjo6ekVFhaampqKbRR2mTVrFrGQmZnJYDDc3d0RQmVlZdOmTZs9e3bPTg2KBgAAAKDP3Lt37/PPPyeWT58+vWDBgu6OoKent23bNn19fdHG/Px8ogTBMGzSpEn5+fmmpqZiGzsO6OPjc+rUKWK5tLS0oqJi3rx5Q4cO9fX1HTduXLdi6/SLkFwu9+m/+Hx+WVmZ6Gq3jgEAAAAMEjdu3BAuR0ZG9mAEdXV1a2trQ0ND0cbq6mrhIwvq6urV1dWdNbYTFxenp6cn/LRSaWlpS0vLpk2bzMzMbG1tX7161a3YOr3ScPjw4cOHDwtXV6xY0a1xAQAAgEHI2NhY7HIv0el04vtJCKGWlhbiWQSxje389ttv/v7+wlViagiEkK2tbVhYWFRU1OrVq6UPQ3zRcOrUqcbGxi66jRw5UvpjAAAAAIPEihUrSkpKUlNTLSwsNm3a1FfD6urqVlRUEA8zVlRU6OjodNYoqqysLCsry87OjlgVCARlZWUmJibEqqmpade/6zsSXzQIRwQAAACA9KhU6v79+/t8WGdn56tXr1paWlZWVhYVFRF1gNhGUdeuXbO3t1dWViZWMQybMmXKuXPnnJyceDxeQkKCt7d3t8KAByEBAAAAeefn5+fo6FhQUJCbmxsYGEij0Tpr3LdvX3p6elxcHEIoJSXFyclJOAiGYaGhoUuXLp0wYUJpaemaNWtsbGy6FQaG43ifnlffePPmjcyOxWKx3r17J7PD9QaDwaBSqbW1tQMdiFQUKLFMJpNMJtfV1Q10IFJRoMSyWCwMw+rr6wc6EKkoUGLZbDaO44oSrRwmdtiwYb0coaGhofdhMJnMLra+fPmytbVV9MI/n8/Py8vT19cX/YhTx8YXL17U1dWZmZkhhO7fv29qaqqmpiY6Mo/Hy8/P19fX19TU7G7McKUBAAAAkDsGBgbtWshk8vjx4yU2GhoaCt+8sLa27jgynU63sLDoWVSdvnIJAAAAACBK/JWGDRs2cDicLrr98ccf5ubm/RMSAAAAAORRp1NjE5Nk4Dh++PBhHMfnz5+vqamZl5d39epVf3//dl+qAgAAAMBHT3zRsGjRImLh1KlTmpqaGRkZKioqREtMTMzatWu3b98uowABAAAAIB8kPNMQHx+/ePFiYcWAEHJ2dq6vr8/Ly+vnwAAAAAAgXyQUDerq6llZWaItBQUFDQ0NQ4cO7c+oAAAAACB3JLxyuWLFiunTp69cuXLp0qVsNpvD4ezdu/fLL7/s+K1KAAAAAHzcJFxpmDp1anR0dHZ2toODg6Wlpa+vr4uLS1hYmGyCAwAAAID8kPxxJycnJycnp+bm5vfv38NdCQAAAGDQklA04Dh+8uTJO3fu8Pl80fbt27ePHj26PwMDAAAAgHyRcHvijz/+8PLy4nK5av8/CgW+Pw0AAAAMLhJ+9ycmJnp7ex8+fFg20QAAAABAbkm40kCj0eA2BAAAACBjzc3N5eXloi0XLlyYP3/+xo0b28113HHPrrt0No40JBQNHh4ewcHBlZWV3R0XAAAAAD125swZ0cv8UVFRP/74o5eXF4Zhbm5uXezZdZcuxpGGhKIhNze3oaHBxMTE0tJyhoicnJzuHgkAAAD46OE4fu3aNT8/v3PnzrW1tfVghCdPnsybN2/Dhg2ijcHBwXv27HF0dAwMDMzPzy8sLOxsz667iG2UnoRnGoyNjVetWtWxXV1dvVuHAQAAAAaDkydP+vn5EcslJSV79uzp7gh6enrbtm1rNzFkfn7+5MmTEUIYhk2aNCk/P9/U1FTsnl13EdsofWwSigYPDw/pxwIAAAAGuejoaOHy9evXe1A0qKurW1tbp6amcrlcYWN1dbXwz3V1dfXq6urO9uy6i9hG6Um4PYEQevr06aJFi4yNjdXU1CwsLH7//fcPHz506xgAAADAIKGtrS1c1tXV7ath6XR6S0sLsdzS0kKn03vWpQfjiJJQNJSUlNjY2NTV1W3btu3kyZNz587ds2fPd999161jAAAAAIOEv7//2LFjEULGxsa//fZbXw2rq6tbUVFBLFdUVEgzA5TYLj0YR5SE2xNHjx61t7cXXmxZuHDhvHnzJk2a9Msvv7DZ7G4dCQAAAPjoGRoa3r17t7a2tm8f/nN2dr569aqlpWVlZWVRUZGdnV3PuvRgHFESioaSkhIHBwfRFgsLCzU1tZKSEktLy24dCQAAABgk+vx1AT8/P0dHx4KCgtzc3MDAQBqN1tme+/btS09Pj4uLE9tF+nHEklA0jBw5Mjk5eePGjcIWDodTW1trYmLSrcMAAAYh5yAOQih8Kfx3AUC3ubu7t7a2Clc1NDSys7Pz8vL09fXbVSTt9nR3d58zZ05nXboYRxoYjuNdbC4pKbGwsJgyZcrChQvZbPaTJ0+CgoIWLlwYEhLS3SN1y5s3b/p1fFEsFuvdu3cyO1xvMBgMKpXag294DQgFSiyTySSTyXV1dQMdiFQUJbHu558JlxWiblCUxCKE2Gw2juOKEq0cJnbYsGG9HKGhoaH3YTCZzN4PImOSrzTcuXNn165de/furaurGzFixI4dO9atWyeb4AAAAAAgPyS/cmliYvLNN9+Ul5fX19cfOHBg5syZVCpVBpEBABSa8OqCQlxmAABIQ0LRUF9fb2Fh4e7uTqxGR0dPnDjxyJEj/R8YAEDhxaybGOttMdBRAAD6jISi4eDBg8rKysXFxcTqkSNHTpw4sXnz5vr6+v6PDQAAAAByRELRwOFwFi9eLPrxh+XLlyspKZWUlPRzYAAAAACQLxIehBw+fPiTJ09EW168eNHY2GhkZNSfUQEAAADySxFffOgTEooGLy8vKysrDw8PNzc3NTW1goKC/fv3u7u79/59FQAAAAAoFglFw+jRo2/durVjx46VK1fW19cbGBgsW7Zsy5YtXXR5+vTpsWPH3r17Z2dnt3LlShKJJP1WAAAAAMgtyb+zzc3NY2JiampqWlpanj9/vnv37i4mxeLz+YGBgZ6ensePHy8uLk5PT5d+KwAAAADkmeSi4d69e+PHj1dWVr59+3ZQUNDPP//cxdTYOTk5w4YNMzMzo9Foc+fOTU1NlX4rAAAAAOSZhNsTWVlZs2fP9vb2Jia6NDIy8vf3f/r0aXh4uNj9//nnHwMDA2LZwMDg9evXUm7l8/lcLpdYJr7p26PT6QkMw2R5uN7AMAwhpEDRKlCoCBLbDzAMU6xoFSVUpFDRKlCoQCIJRUNISMiSJUt+/vnnzMxMhJCzs3NycvLEiRMDAgJ0dXU77t/Q0CC8eUGn09t9b7yLra9fv543bx6xvGzZsvXr1/f0jHqiz6cj61cKFK0ChYoUKloFChUpVLQKFCpSqGgVKFTQNQlFA5fLnT17tmiLubk5k8l89eqV2KKBwWBUV1cTyzwej8FgSLl1yJAhwcHBxLKOjo4sPx6lqqr6/v17mR2uN+h0OoVC6ZOJUmRAgRKroqJCIpEaGxsHOhCpKFZiMQxTlGgVKLGqqqo4jjc1NQ10IFKRw8Sy2eyBDkFRSSgaxowZk56eLvp3f0JCQlNT0+jRo8Xur6WlJXy8saqqSktLS8qtSkpKkydPFq7KcpZLgUDQxVMackVZWRnHcUWJVoESKxAIMAxToGgVJVRiEl1FiVaxEgv/FYABIeFBSB8fn6SkpK+++urly5cxMTG+vr7z58/fuXOnqqqq2P0nTJjw6tWr0tJSgUAQHx8/bdo0or2oqIjH43W2FQAAAADyT0LRoKenl5WVRaFQEEJRUVGFhYXh4eE7d+7sbH8ymbxly5YjR454eXkZGRnNmDGDaN+8efPz58872woAAAAA+YcR1w/ljSxvT7BYrHYPbMotBoNBpVJra2sHOhCpKFBiiRd26urqBjoQqShQYlksFoZhijK/nQIlls1m4ziuKNHKYWLho8Y91lXRUFVVJRAI9PX1EUIvXrw4efIkhUKZP3/++PHjZRgh+D+pqamVlZVff/31QAfysbl582ZdXd2iRYsGOpCPTVxcXGtrq6ur60AH8rG5fv06lUr98ssvBzoQMOh0envi7NmzBgYGx48fRwi9evVq0qRJAQEB4eHhVlZWN27ckGGE4P/cv38fkt8fMjIy4uLiBjqKj1BKSsrNmzcHOoqP0M2bN1NSUgY6CjAYiS8abt26tXbt2rNnz27atAkhFBQUhGFYaWlpYWGViWhNAAARSElEQVTh1q1bfX19BQKBbOMEAAAAwAATXzT8/fff7u7uHh4exOyfsbGx33zzjY6ODkLIx8entLS0oqJCpmECAAAAYKCJf6bBxcXF3t7e19cXIfTmzRtNTc3ExEQHBwdiK5VKvX37tuhnFYBs1NXVtba2ampqDnQgH5uampq2tjZIbJ+rqakRCATw0Fmfe/PmDYlEGjJkyEAHAgYd8R93YrPZT548IZYTExOVlJSmTp1KrHK53La2NmNjYxkFCESoqakNdAgfJ/jPt59AYvsJ1GFgoIi/PWFnZxcbG/vixYva2tqjR49Onz5dOGdEUFCQoaGhhoaGDIMEAAAAwMATf6Vh+fLl58+fNzY2plKpHz58IJ5/vn///r59+6Kjo+Pj42Ub5GCRlpY2ffr07vZqbW11c3MTrm7ZskV4WajHY34csrKydu/eLVwNCwsjntHpTfe2trYTJ07cvXt36NCh3t7eI0eO7MuI5V4vT19s90GeUgL8rAJFIb5oUFJSSk5Ojo2NLSsrmzFjhrm5OUKooqKCQqH89ddfjo6Osg1yULh161ZkZGQPfsFXV1ebmJjs37+fWCU+39nLMT8O1dXVLi4uy5YtI1apVGrvuyckJLx+/To0NJTD4QQEBISEhBDTag8SvTx9sd0HeUoJ8LMKFEWn32mgUqmurq4bN24kKgaE0IIFCy5fvjxr1ixZxTZYNDc3r1279tChQ+3aIyMjv/3223Xr1l27dq2L7lwuV0dHh/ov4v+FzsYcVLhcrp6enjAzRGNLS8vvv/++YsUKPz+/hw8fdrd7SkrKvHnzlJSUrK2tyWRyUVFRv5+GPBF7+tKnVGz3QZ5SAvysAkUhYe4JIAM0Gi0kJGTfvn2ijQ8fPkxKSgoMDNy/f39qaurt27eFm2pra58+fSpc5XK55eXlq1at+uabb0JDQ/l8fmdjDjbV1dVJSUlLly719PRMSkoiGsPDw/l8fmhoqI+Pz5EjR7hcrnD/kpIS0VWx3V+/fk18IxUhpK+v//r1a1mdjVwQe/rSp1Rs90GeUgL8rAJFAUWDnEpPT3dycmIymaqqqjNnzszIyBBu4nK5oqsUCsXc3Dw4OPiPP/7gcDjwxIkQm82eNWvWuXPntm7dGhISUlZWhhBKT0+fP38+iUQyMDD45JNPsrKyhPtnZ2eXlpZ23f3du3cqKirEDnQ6vaGhQbbnNMDEnr70KRXbfZCnlAA/q0BRiH+mAfS3o0eP5uXlIYQOHDggdp7xt2/fRkdH//3338TqqFGjOhvqiy++IBaUlJRmzJjB4XAG8xfpN2zY0NbWpquru2PHDi8vL6JxxIgR48aNy8nJGT58eE1NjehdG9FHQNrp2N3Y2JjBYPB4POL/Yh6Px2Aw+vNs5E7H08dxXPqUis3eIE8pAX5WgaKAomFgeHt7d70Dm812dnaeMmUKQqi2tralpQUhFBoa+ujRo+bm5qamJuJDGkeOHHnw4IGJiQnx3jaFQlFSUur/8OXX77//Tizw+fzk5OSZM2eSyWSEEIVCUVZWxjCMxWLt3buXeDS9oqKCxWIhhLZs2fL+/fu6ujoqlRoRETFixIgNGzZ07I4Q0tLSqqqqGjp0KEKoqqpqsH0PquPpS5/SjRs3is3eIE8pgp9VoFCgaJBTNjY2V69eJSYU3bt379y5c7W1tf/73/8ihPLz89PT01evXk3syeFwEhMTfX19cRxPTk5esGDBQMYtN8hk8vXr12tqatzc3Kqqqp4+ferp6YkQsrGxCQsL8/T0rKqq2rx586FDh1gsFvHwx6VLl/T19YUvrIrtPm3atLi4uHHjxuXl5bW0tHzyyScDeI6yJ/b0pU+p2O6DPKUIflaBQoGiQU7Z2dm9fPlyw4YNfD5/xowZ9vb2ne25fPnyEydOeHl5USgUJyenadOmyTBMuebv7x8UFBQTE8Nms7///nstLS2E0PLly4OCglauXEmlUlevXk00St/d2dm5oqJizZo1qqqqW7duHWzvsIk9felTKrb7IE8pAX5WgaIQP/cEAAAAAEA78PYEAAAAAKQCRQMAAAAApAJFAwAAAACkAkUDAAAAAKQCRQMAAAAApAJFAwAAAACkAkUDUGxMJpNKpdLpdBqNhmGYqqrqr7/+2rcvEickJKirqyOEcBwPCwurqanp5YA//PADnU7vbA7SwMBADMOEs8uKlZWVhWEYn8+/fft2d6dRlpnCwkLis4bNzc2i7Xfu3MEwTEdHp4u+XaRa+M8BAJA9KBqAwjt69CiPx2tubv7nn38OHDiwe/fuPXv29OH4FhYWFy5cQAgJBAIPDw9iNqDeOH36dERExMaNG8VujYiIGDVqVE5OTn5+vsShxowZc+PGjV7G06/a2toSEhJEW65evUqn07vu1UWqhf8cAADZg6IBfDw0NDS8vLx++umngwcP1tbWCts/fPjw+PHj/Px84RWId+/e3b17FyH07NmzzMxM0Z0RQuXl5ZmZmW/evCFWKRQKg8EQCARpaWkIoaysrJcvX96+fVt0buKioqLc3NyOIbW0tDx69KiqqkrYkpaW1tDQUF5eLvY3YnFxcVZW1sGDB1ks1sWLF9ttra+v53A4on+4k8lk0YmIGhsbs7Oz8/Ly2traRDs2NzdzOJx2p9ndtLQbRMoMODk5Xb58WbTl2rVrTk5Ooi3twm6X6vr6+nv37iGEqqurCwsLiX8OhBCHwykqKhIOkpmZ2ft6DgAgAQ6AImMwGMeOHRNtqaurQwhFR0cTqxcuXFBTUyPuYowfP76qqgrH8YyMDC0tre+++47JZLJYLDqdfvnyZRzH379/P3v2bISQqqoqhUL55ZdfcByPj49XU1Pj8XjTp09HCFlaWoaHh3/++efr1q0THtTMzGzXrl3tYjt58iSdTmcwGBiG2dnZVVZW4jhub29PIpHMzc1PnDjR8XR27949ZMiQDx8+LFmyxNTUVHTTtm3bSCQSnU6n0+mbN29GCLW1tWVkZFAoFGKHXbt2UalUVVVVDMMMDAyePHlCtIeEhCgrKxPtnp6era2t3U2L2EEkZqCgoAAhFBYWRtyhIBofPnzIZDJDQkK0tbU7C7tdqlNTU/X19U+ePKmionLs2DHinwPH8TNnzgwdOvSff/7BcTwlJUVFRaWoqKjTHxQAQF+AogEoto5FA47jGhoaR44cwXH86dOndDr90qVLOI6/f/9+2bJlZmZmfD4/IyMDIeTm5tbS0sLj8VxcXCZMmIDj+OHDh4cNG1ZeXs7n8w8ePIhhWF1dnfC3FPF38MOHD3EcP3HihJ6enkAgwHGcmOW8uLhYNAYOh0MikU6fPi0QCLhcrpWV1fz584lNNBotNTVV7OmMHj161apVOI4TV+AfPXpEtF+5coVCoURGRgoEAg6HQ0wuIFo0PH78GCH0559/8vn8mpqaiRMnfvvttziO379/n0KhECXU/fv3aTRacHBwd9MidhCJGSCKhuLiYkNDw6ioKKJx69atX3311ZkzZ4iiobOwRVOdmppKo9Hc3d3fv3+P/1vDEaPNnj3bw8ODx+ONGjXq4MGD3fnBAQD0BNyeAB8hJpNZX1+PEIqIiPj00091dXVv377N4XCcnZ1zc3OJWcURQr/++quSkhKNRlu8ePHbt28RQo2NjRiGvX37lkQi+fj41NbWEhMTd+Tq6srlcjMzMxFCFy5csLa2HjlypOgO586ds7W1Xb58OYZhWlpav/zyy7Vr1xoaGroI+9GjRwUFBQsXLkQIffHFF0pKSsKb92fOnFmyZImrqyvxjKSvr2+7voaGhllZWV9//TWJRGIwGIaGhsRThKdOnZo7d66zszNCaPLkyWfPnjU0NOxuWsQOIjEDBAzDFixYcOXKFWL16tWrbm5uEsNup7m5edeuXSoqKu3ajx8/fuPGDRcXFw0NDR8fny5yCwDoEzDLJfgIVVVVDR8+HCFUXl5eVVW1Y8cO4SZ7e3v831v4I0aMIBaUlZWJBS8vrwcPHlhZWRkaGjo4OKxatcra2lrsITQ0NKZPnx4ZGWltbX3hwgVvb+92O5SWlhIzmxOI5dLS0gkTJnQWdkREBJlMLi0tDQ0NRQjp6eldvHjx119/JToSE6MTJk2a1K4vi8Wqqanx8PDIz88vLS2lUCjEzKjFxcV2dnbC3RYtWoQQunjxYrfSInYQhFDXGRBauHDhF1980draWlRUVFFRIfqUQ2dht4NhmDAqUUZGRps3b96xY8eDBw9IJPgTCIB+B0UD+Njcv3+/ubl5zJgxCCEdHR0bG5vIyEhiE47jTU1NKioqd+7cQQh1/DWjrq5+/fr1mpqalJSUy5cvT5kyhbhiL5abm9uhQ4cWLVr07NmzxYsXt9vKZrOJqx2ExsZGhBCLxepsNBzHL1y4QBQKRAuLxcrJycnMzJw8ebK6ujrxrAahtbW1XfeoqCg3N7fAwMDt27ebmJhs3779+fPnCCEGg9HU1CTcraamprm5ubtpETuIrq5u1xkQsrGxYTAYiYmJDx8+nDNnjugFg87CbodMJpPJ5I7tHz58uHTpEpvNDg0N7VhIAQD6HNTm4KPS1NS0detWOzs7S0tLhJCtrW1SUlJlZSWxNSAgwNjYWCAQdNbd19fX399/yJAhCxYsCA8PHzp0aHZ2dmc7/+c//3n27Jm/v/+sWbM0NTXbbbWysrp58yZRKyCELl++rKmpaWho2Nlot2/ffvHiRUhISMq/0tLSaDQaUUNMnjz50qVLHz58IHa+dOlSu+43b96cMmXK+vXrP/30UyUlJeFrBVZWVjExMXw+n1h1cnL66aefupsWsYNIzICQ8A5Fu3sTXYQtpb1795LJ5LS0tNOnT6enp3erLwCgB+BKA1B4iYmJjY2NOI5XVlbGxsbyeLzY2Fhi09y5cy0tLadNm+bp6VleXn727NnffvtN7N+shHHjxq1du7axsXHEiBGJiYnNzc1OTk7Pnj0jtmIYRqfTIyIiVFRUPv30U21tbVtb27i4uPPnz3ccatWqVUFBQXZ2dsuWLSsrKwsJCTlx4kQXh46IiNDV1SXe3SCw2WwXF5eLFy8GBAT88MMPf/7557Rp09zc3LKysoTPHwhZWVmdOHFiz549hoaGkZGRjx8/VlZWfvz4sY+PT2hoqIODg6ura2pqam5u7v/+97+xY8d2Ky1iB0EIdZ0BUW5ubrNnz8Zx/Msvv5Qm7LFjxwpT3dmY2dnZBw4cyMjImDBhwvfff+/p6ZmTk0Oj0bqOBADQG3ClASg2Ozu7t2/fxsTExMbGlpeXL1++PCsry8zMjNiKYVhCQsLatWszMzPr6+vDw8PXr1+PEGKz2aL3zjU0NKZMmYIQWrly5dmzZ7lcblxc3PDhwzMzM0eOHDlkyJDPPvsMIUQikYKDg/Pz84n3AhBCc+fOVVFRcXV17RgYjUbLzMx0dXVNSUlpamqKj49fvnw5sWnatGlqamrt9n/9+vXmzZvb/eZes2bNqFGjiouLdXR0srOzp06dmpaWNnLkyPj4eHt7ewzDhHsuW7bs6NGjWVlZKSkpq1evTk1NNTMzu3fvHpvNJjomJSVpaGg8ePBg3Lhx3U2L2EEkZkBFRcXe3p74jpOtre3MmTPXrVtHfGJBW1t76tSpXYQtmmo1NTXiDUyC8J/jzJkzP/74I3FJyd/ff/To0dHR0R3DAAD0IQzv0w/uAjCouLu7YxgWFhY2UAGkp6c7ODgIb1vI3oBnAAAgS3B7AoCeePbs2a1bt65cuRIXFzdQMRDvWbDZ7AE5ujxkAAAgY3B7AoCeSEtL8/f337Jli6Oj40DFEB8fX15eTryfKXvykAEAgIzB7QkAAAAASAWuNAAAAABAKlA0AAAAAEAqUDQAAAAAQCpQNAAAAABAKlA0AAAAAEAqUDQAAAAAQCpQNAAAAABAKv8PikjM1A1aID0AAAAASUVORK5CYII=" 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" />
<!-- rnb-plot-end -->
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<!-- rnb-source-begin eyJkYXRhIjoiYGBgclxuYGBgclxuXG4jIyBOb3QgcnVuOiBcbmcgPC0gbWFrZV9sYXR0aWNlKCBjKDUsNSw1KSApXG5jb29yZHMgPC0gbGF5b3V0X3dpdGhfZnIoZywgZGltPTMpXG5yZ2xwbG90KGcsIGxheW91dD1jb29yZHMpXG5cbiMjIEVuZChOb3QgcnVuKVxuXG5cblxuYGBgXG5gYGAifQ== -->
```r
```r
## Not run:
g <- make_lattice( c(5,5,5) )
coords <- layout_with_fr(g, dim=3)
rglplot(g, layout=coords)
## End(Not run)
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```r
```r
n <- sz <- size <- 100
p <- 0.4
g1 <- igraph::erdos.renyi.game(n = sz, p)
A <- igraph::get.adjacency(g1) # Row to column
A <- Matrix::t(A)
det(A)
<!-- rnb-source-end -->
<!-- rnb-output-begin eyJkYXRhIjoiWzFdIDkuMTAyMDI0ZSs0N1xuIn0= -->
[1] 9.102024e+47 ```